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Finding the Fourth Proportional to 1,046.40, 1,444.08 and 604.45

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Solution

The fourth proportional to 1,046.40, 1,444.08 and 604.45 is: 834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.40 : 1,444.08 = 604.45 : x
  2. Step 2: Convert to fraction form
    1,046.40/1,444.08 = 604.45/x
  3. Step 3: Cross multiply
    1,046.40x = 1,444.08 × 604.45
  4. Step 4: Simplify right side
    1,046.40x = 872,874.16
  5. Step 5: Solve for x
    x = 872,874.16/1,046.40
  6. Step 6: Final answer
    x = 834.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.